103162147430400 has 840 divisors, whose sum is σ = 382682752428240. Its totient is φ = 27472326819840.

The previous prime is 103162147430393. The next prime is 103162147430413. The reversal of 103162147430400 is 4034741261301.

103162147430400 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 6 + 214 + 7 + 4 + 30 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13420335357 + ... + 13420343043.

Almost surely, 2^{103162147430400} is an apocalyptic number.

103162147430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103162147430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191341376214120).

103162147430400 is an abundant number, since it is smaller than the sum of its proper divisors (279520604997840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103162147430400 is an frugal number, since it uses more digits than its factorization.

103162147430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 103162147430400 its reverse (4034741261301), we get a palindrome (107196888691701).

The spelling of 103162147430400 in words is "one hundred three trillion, one hundred sixty-two billion, one hundred forty-seven million, four hundred thirty thousand, four hundred".